Final answer:
The width of the rectangular rug is 6/7 yard.
Step-by-step explanation:
To find the width of the rectangular rug, we need to divide the area of the rug by its length.
Given that the length of the rug is 7/8 yard and the area is 3/4 square yard, we can use the formula:
Width = Area / Length
Substituting the values:
Width = (3/4) / (7/8)
Simplifying the fraction:
Width = (3/4) * (8/7)
Width = 24/28
Width = 6/7
Therefore, the width of the rectangular rug is 6/7 yard.